Definitions for supplementary angles

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supplementary angles(Noun)

A pair of angles that sum to 180 degrees.

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Supplementary angles

Supplementary angles are pairs of angles that add up to 180 degrees. Thus the supplement of an angle of x degrees is an angle of degrees.
If the two supplementary angles are adjacent, their non-shared sides form a straight line. However, supplementary angles do not have to be on the same line, and can be separated in space. For example, adjacent angles of a parallelogram are supplementary, and opposite angles of a cyclic quadrilateral are supplementary.
If a point P is exterior to a circle with center O, and if the tangent lines from P touch the circle at points T and Q, then ∠TPQ and ∠TOQ are supplementary. linear pair angles have also been formed by 2 adjacent supplementary angles. The following are properties of a linear pair-
⁕Have a common vertex
⁕Have a common arm
⁕Lie in the either side of the common arm
⁕Sum of their measure is 180 degree.
⁕Their other arm form a straight line